Find Resonator/Oscillator Capacitance/Inductance at 1 MHz

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To determine the capacitance and inductance for a 1 MHz resonator or oscillator, one can start with an assumption about either capacitance (C), inductance (L), or their reactance (X). At resonance, the reactance of the capacitor equals that of the inductor, expressed by the formula Xc = XL = 2πfL = 1/2πfC. Suggested values include 16 µH with 1592 pF, 24 µH with 1061 pF, and 32 µH with 796 pF. A program is recommended for calculating suitable L and C values based on a set reactance, while finding appropriate inductors may be challenging. Understanding these relationships is crucial for designing effective resonators or oscillators.
AskTheGenius
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hi guys,

can someone tell me the capacitance and inductance for a 1 MHz resonator/oscillator

thanks,
your neighborhood genius
 

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http://en.wikipedia.org/wiki/RLC_circuit" It's under resonance frequency.
 
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You'll have to start with an assumption. Assume one of the following three, and you can solve for the others:

C
L
X of C and L

At resonance, Xc = XL = 2*pi*f*L = 1/2*pi*f*C
 
You could try these:

16 uH... 1592 pF

24 uH ... 1061 pF

32 uH ... 796 pF

Try to download the following program:
https://www.physicsforums.com/attachment.php?attachmentid=18761&d=1241430510

I set the reactance to about 200 ohms and let the program work out suitable L and C values.
Watch the units.

Then the hard part is finding suitable inductors. The ferrite rod antenna in transistor radios resonates at 1 MHz with about 200 pF.
 
AskTheGenius said:
hi guys,

can someone tell me the capacitance and inductance for a 1 MHz resonator/oscillator

thanks,
your neighborhood genius

Welcome to the PF, Ask. What'cha making?
 

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